Least Common Multiple of 9993/480, 3530/6072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9993/480, 3530/6072 quickly i.e. 35275290/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9993/480, 3530/6072 is 35275290/24.

LCM(9993/480, 3530/6072) = 35275290/24

LCM of 9993/480, 3530/6072

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9993/480,3530/6072

Given numbers are 9993/480,3530/6072

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9993,3530

Least Common Multiple of Numerators i.e. LCM of 9993,3530 is 35275290.

GCF of Denominators means GCF of 480,6072 as per the given fractions.

GCF of 480,6072 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9993,3530

LCM of Fractions 9993/480,3530/6072 is 35275290/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 35275290

Least Common Multiple of 9993,3530 with GCF Formula

Least Common Multiple of 9993,3530 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9993,3530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9993,3530) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9993,3530) x common factors =1 x 1 = 1

LCM(9993,3530) = ( 9993 × 3530 ) / 1

LCM(9993,3530) = 35275290 / 1

LCM(9993,3530) = 35275290


Lets's calculate GCF of 480,6072

2 480, 6072
2 240, 3036
2 120, 1518
3 60, 759
20, 253

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35275290/24

Therefore the LCM of Fractions 9993/480,3530/6072 is 35275290/24

Greatest Common Factor of 480,6072 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,6072 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 6072

List of positive integer factors of 6072 that divides 6072 without a remainder.

1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072

Greatest Common Factor

We found the factors 480,6072 . The biggest common factor number is the GCF number.
So the greatest common factor 480,6072 is 24.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9993/480, 3530/6072

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9993/480, 3530/6072?

Answer: LCM of Numerators as per given numbers 9993/480, 3530/6072 is

LCM of Numerators i.e. for 9993,3530 is 35275290

GCF of denominators i.e. for 480,6072 is 24.

Thus, LCM of Fractions is 35275290/24.Finally, LCM of Fractions for 9993/480, 3530/6072 is 35275290/24.